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Finding the Fourth Proportional to 25,864.47, 38,796.65 and 7,144.46

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Solution

The fourth proportional to 25,864.47, 38,796.65 and 7,144.46 is: 10,716.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,864.47 : 38,796.65 = 7,144.46 : x
  2. Step 2: Convert to fraction form
    25,864.47/38,796.65 = 7,144.46/x
  3. Step 3: Cross multiply
    25,864.47x = 38,796.65 × 7,144.46
  4. Step 4: Simplify right side
    25,864.47x = 277,181,228.91
  5. Step 5: Solve for x
    x = 277,181,228.91/25,864.47
  6. Step 6: Final answer
    x = 10,716.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.